2025-12-302025-12-302025LLIBRE, Jaume; SANCHEZ, Angela C. T.; TONON, Durval J. Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. Nonlinear Differential Equations and Applications, Berlin, v. 32, e48, 2025. DOI: 10.1007/s00030-025-01050-w. Disponível em: https://link.springer.com/article/10.1007/s00030-025-01050-w. Acesso em: 9 dez. 2025.1021-9722e- 1420-9004https://repositorio.bc.ufg.br//handle/ri/29233In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.engAcesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Limit cyclesDiscontinuous piecewise differential systemsRigid systemsArtigo10.1007/s00030-025-01050-w